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Performance Evaluation of WiMAX/IEEE 802.16 OFDM Physical Layer - page 50 / 107

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In the next section we will discuss about how these parameters have been incorporated to implement SUI channel model for our simulation.

4.3.2 SUI channel models Implementation:

The goal of the model implementation is to simulate channel coefficients. Channel coefficients with the specified distribution and spectral power density are generated using the method of filtered noise [34]. A set of complex zero­mean Gaussian distributed number is generated with a variance of 0.5 for the real and imaginary part for each tap to achieve the total average power of this distribution is 1. In this way, we get a Rayleigh distribution (equivalent to Rice with K=0) for the magnitude of the complex coefficients. In case of a Ricean distribution K>0), a constant path component m has to be added to the Rayleigh set of coefficients. TheK­factor specifies the ratio of powers between this constant part and the variable part. The distribution of the power is shown below:

total power P of each tap:

p = |m| 2 +

2

(4.9)

where m is the complex constant and

2

the variance of the complex Gaussian set

the ratio of power is :

k

m2

  • 2

(4.10)

From the above two equations, the power of the complex Gaussian:

1 2 p. k 1

(4.11)

and the power of the constant part as:

k m p. k 1 2

(4.12)

The SUI channel model address a speci ic power spectral density (PSD) function for the scatter component channel coefficients which is given by:

39

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